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ode-solver

Solve ordinary differential equations (initial and boundary value problems). Supports stiff/non-stiff systems, event detection, Hamiltonian/symplectic integration, parameter sweeps, and phase space analysis. Use for any ODE system in physics, engineering, or applied math.

backend/cli/skills/physics/ode-solver/SKILL.md

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# ODE Solver

## Overview

Solve systems of ordinary differential equations using scipy's battle-tested integrators. Covers initial value problems (IVP), boundary value problems (BVP), event detection, stiff systems, and Hamiltonian dynamics with symplectic integrators.

## When to Use

- Any initial value problem: dx/dt = f(t, x)
- Boundary value problems: solve with constraints at two endpoints
- Hamiltonian systems needing energy-conserving integration
- Parameter sweeps over ODE systems
- Systems with discrete events (bouncing ball, switching dynamics)